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137518330749880 = 23531182236085819
BaseRepresentation
bin11111010001001001111011…
…010000010010001110111000
3200000220121211220201112221211
4133101021323100102032320
5121011100020132444010
61204251014330212504
740652241301513663
oct3721117320221670
9600817756645854
10137518330749880
113a8aa218681733
121350bb82884134
135b96bcc935032
1425d5ccbd406da
1510d7279d1908a
hex7d127b4123b8

137518330749880 has 64 divisors (see below), whose sum is σ = 319414992998400. Its totient is φ = 53229972286080.

The previous prime is 137518330749803. The next prime is 137518330749881. The reversal of 137518330749880 is 88947033815731.

It is a super-2 number, since 2×1375183307498802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137518330749881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19553611 + ... + 25639429.

It is an arithmetic number, because the mean of its divisors is an integer number (4990859265600).

Almost surely, 2137518330749880 is an apocalyptic number.

137518330749880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137518330749880 is an abundant number, since it is smaller than the sum of its proper divisors (181896662248520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137518330749880 is a wasteful number, since it uses less digits than its factorization.

137518330749880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104084 (or 6104080 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 67.

The spelling of 137518330749880 in words is "one hundred thirty-seven trillion, five hundred eighteen billion, three hundred thirty million, seven hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 18223 36446 72892 91115 145784 182230 364460 564913 728920 1129826 2259652 2824565 4519304 5649130 6085819 11298260 12171638 22596520 24343276 30429095 48686552 60858190 121716380 188660389 243432760 377320778 754641556 943301945 1509283112 1886603890 3773207780 7546415560 110901879637 221803759274 443607518548 554509398185 887215037096 1109018796370 2218037592740 3437958268747 4436075185480 6875916537494 13751833074988 17189791343735 27503666149976 34379582687470 68759165374940 137518330749880